Algebraic Hyperstructure of Observable Elementary Particles Including the Higgs Boson

A brief survey on algebraic hyperstructures: Theory and applications

“…In the SM, all the elementary particles are classified into three generations of matter, i.e., Hadrons, Leptons and Gauge Bosons. In [33], Davvaz et al showed that the leptons and gauge bosons along with the interactions between their members construct a weak algebraic hyperstructure. This new sight to the elementary particles would make a new arrangement to the elementary particles.…”

Topological Krasner hyperrings with special emphasis on isomorphism theorems

“…The theory of hyperalgebra which is extended in this article gets birth in the year 1934 but it gets acquaintance during the last two decades and so far it is wide in various branches of Mathematics including Physics and Chemistry: geometry [25,26], graph theory [5,27], codes [31,10], cryptography [4], probability [20], automata [19], artificial intelligence [17], lattice theory [14,15], chemistry [1,12], physics [8,21], and all credits for these go to the hyperoperations. It is investigated that how the difference between hyperoperation and binary operation affects on the theory of topological Krasner hyperring, especially on the topological isomorphisms.…”

A Study onA−I−Γ-Hyperideals andm,n−Γ-Hyperfilters in OrderedΓ-Semihypergroups

“…Moreover, the hyperrings were introduced after the hyperfields, by Krasner [2], for solving some problems in valuation of fields. From the early attempts [1,2] to recent studies, hyperstructure theory has been used in diverse branches of mathematics [3,4], physics [5,6], chemistry [7], biology [8,9], etc. In [5], Davvaz et al showed that the leptons and gauge bosons along with the interactions between their members construct a weak algebraic hyperstructure (H ] -structure).…”

“…From the early attempts [1,2] to recent studies, hyperstructure theory has been used in diverse branches of mathematics [3,4], physics [5,6], chemistry [7], biology [8,9], etc. In [5], Davvaz et al showed that the leptons and gauge bosons along with the interactions between their members construct a weak algebraic hyperstructure (H ] -structure). Some applications of hyperstructure theory in mathematics, cryptography, codes, and other fields can be found in [10].…”